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### Students Who Viewed This Also Studied

14 Pages
###### Position Vector

Mingjie Zeng 2021S1 MZB125 Assignment PracticeQuiz2 due 01/04/2021 at 05:00pm Australia/Brisbane 1. (1 pt) Notation: Throughout this Quiz, vectors are denoted by com- ponents between angled brackets. ...

Course

MZB125

Subject

Maths

University

Queensland University of Technology

Season

Autumn

14 Pages
###### Vector Components

Mingjie Zeng 2021S1 MZB125 Assignment PracticeQuiz2 due 01/04/2021 at 05:00pm Australia/Brisbane 1. (1 pt) Notation: Throughout this Quiz, vectors are denoted by com- ponents between angled brackets. ...

Course

MZB125

Subject

Maths

University

Queensland University of Technology

Season

Autumn

4 Pages
###### Parallel and Non Parallel

ANSWERS SUBMITTED FOR QIZ 1  (3,4,-4)  (7,4,-6)  (10,8,-10)  (7,12,-11)  8.124038405 ANSWER SUBMITTED FOR QUIZ 2  5.385164807 UNITS ANSWERS SUBMITED FOR QUIZ 3  Two vecto ...

Course

MZB125

Subject

Maths

University

Queensland University of Technology

Season

Autumn

4 Pages
###### Vector Equation

ANSWERS SUBMITTED FOR QIZ 1  (3,4,-4)  (7,4,-6)  (10,8,-10)  (7,12,-11)  8.124038405 ANSWER SUBMITTED FOR QUIZ 2  5.385164807 UNITS ANSWERS SUBMITED FOR QUIZ 3  Two vecto ...

Course

MZB125

Subject

Maths

University

Queensland University of Technology

Season

Autumn

### Question

1. (10 marks) Let C be the cyclic binary (15, 9)-code generated by g(x) = 1 + x3 + x4 + x5 + x6
. It
is known that C is a 3-cyclic burst error correcting code. Decoding each of the following received
vectors using the error trapping algorithm that was presented in class.
(a) r1 = (10101 11010 11100).
(b) r2 = (11000 01110 10011).
(c) r3 = (01000 00010 11111).
2. (10 marks) Recall that if g(x) is the generator polynomial for an (n, k)-cyclic code C over GF(q),
then h∗(x) (where h(x) = (xn  1)/g(x)) is the generator polynomial for the dual code C⊥.
(a) Let xn ≤1 = g(x)h(x) over GF(q). Prove that a cyclic code C with generator polynomial g(x)
is self-orthogonal if and only if h∗(x) divides g(x).
(Recall that a linear code C is self-orthogonal if C ⊆ C⊥.)
(b) Give the generator polynomial for a self-orthogonal binary cyclic code of length n = 15.

### CO 331: Coding Theory

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## More CO 331 CO 331: Coding Theory: Questions & Answers

Q

### Position Vector

Mingjie Zeng 2021S1 MZB125 Assignment PracticeQuiz2 due 01/04/2021 at 05:00pm Australia/Brisbane 1. (1 pt) Notation: Throughout this Quiz, vectors are denoted by com- ponents between angled brackets. Let a= h5 ;4 ; 5i and b= h 2;0 ; 1i. Compute: a + b= h , , i a b= h , , i 2 a = h , , i 3 a + 4b = ...

Q

### Vector Components

Mingjie Zeng 2021S1 MZB125 Assignment PracticeQuiz2 due 01/04/2021 at 05:00pm Australia/Brisbane 1. (1 pt) Notation: Throughout this Quiz, vectors are denoted by com- ponents between angled brackets. Let a= h5 ;4 ; 5i and b= h 2;0 ; 1i. Compute: a + b= h , , i a b= h , , i 2 a = h , , i 3 a + 4b = ...

Q

### Parallel and Non Parallel

ANSWERS SUBMITTED FOR QIZ 1  (3,4,-4)  (7,4,-6)  (10,8,-10)  (7,12,-11)  8.124038405 ANSWER SUBMITTED FOR QUIZ 2  5.385164807 UNITS ANSWERS SUBMITED FOR QUIZ 3  Two vectors parallel  Point same direction ANSWERS SUBMITTED FOR QUIZ 4  6.164414003  3.16227766 ...

Q

### Vector Equation

ANSWERS SUBMITTED FOR QIZ 1  (3,4,-4)  (7,4,-6)  (10,8,-10)  (7,12,-11)  8.124038405 ANSWER SUBMITTED FOR QUIZ 2  5.385164807 UNITS ANSWERS SUBMITED FOR QUIZ 3  Two vectors parallel  Point same direction ANSWERS SUBMITTED FOR QUIZ 4  6.164414003  3.16227766 ...

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